dc.contributor.advisor | Frauendiener, Jörg | |
dc.contributor.author | Laing, Christopher James | |
dc.date.available | 2014-07-01T20:44:32Z | |
dc.date.copyright | 2014 | |
dc.identifier.citation | Laing, C. J. (2014). Numerical Construction of Static Fluid Interfaces with the Embedding Formalism (Thesis, Doctor of Philosophy). University of Otago. Retrieved from http://hdl.handle.net/10523/4878 | en |
dc.identifier.uri | http://hdl.handle.net/10523/4878 | |
dc.description.abstract | This research project develops a mathematical and numerical framework for representing static fluid interfaces as embedded manifolds. A variational principle is developed for the embedding function of a smooth manifold, along with the necessary boundary and gauge conditions. The variational problem is solved by a combination of Finite Elements, constrained optimisation techniques, and original algorithms. The approach is applied to problems inspired by modern technological and scientific applications of static fluid interfaces, and the results are compared to exact solutions, experimental data, or other numerical methods, where possible. The impact of the numerical methods on the quality of the solution is discussed in de- tail, with reference to the boundary conditions, the gauge conditions, and the constraints. | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.publisher | University of Otago | |
dc.rights | All items in OUR Archive are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated. | |
dc.subject | Static Fluid Interfaces | |
dc.subject | Embedding | |
dc.subject | Surface Tension | |
dc.subject | Salvinia | |
dc.subject | Lotus Effect | |
dc.subject | Partial Differential Equations | |
dc.subject | Constrained Nonlinear Optimisation | |
dc.title | Numerical Construction of Static Fluid Interfaces with the Embedding Formalism | |
dc.type | Thesis | |
dc.date.updated | 2014-07-01T06:50:10Z | |
dc.language.rfc3066 | en | |
thesis.degree.discipline | Mathematics and Statistics | |
thesis.degree.name | Doctor of Philosophy | |
thesis.degree.grantor | University of Otago | |
thesis.degree.level | Doctoral | |
otago.openaccess | Open | |